Problem 2886 --2.1.4 Healthy Holsteins

2886: 2.1.4 Healthy Holsteins

上一题 正确率: $50.00\%$ 下一题
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Time Limit $1$ 秒/Second(s) Memory Limit $512$ 兆字节/Megabyte(s)
提交总数 $2$ 正确数量 $1$
裁判形式 标准裁判/Standard Judge 我的状态 尚未尝试
难度 分类标签 usaco 搜索

Description

Farmer John prides himself on having the healthiest dairy cows in the world. He knows the vitamin content for one scoop of each feed type and the minimum daily vitamin requirement for the cows. Help Farmer John feed his cows so they stay healthy while minimizing the number of scoops that a cow is fed.

Given the daily requirements of each kind of vitamin that a cow needs, identify the smallest combination of scoops of feed a cow can be fed in order to meet at least the minimum vitamin requirements.

Vitamins are measured in integer units. Cows can be fed at most one scoop of any feed type. It is guaranteed that a solution exists for all contest input data.

PROGRAM NAME: holstein

Input

Line 1: integer V (1 <= V <= 25), the number of types of vitamins
Line 2: V integers (1 <= each one <= 1000), the minimum requirement for each of the V vitamins that a cow requires each day
Line 3: integer G (1 <= G <= 15), the number of types of feeds available
Lines 4..G+3: V integers (0 <= each one <= 1000), the amount of each vitamin that one scoop of this feed contains. The first line of these G lines describes feed #1; the second line describes feed #2; and so on.

Output

The output is a single line of output that contains:

  • the minimum number of scoops a cow must eat, followed by:
  • a SORTED list (from smallest to largest) of the feed types the cow is given
If more than one set of feedtypes yield a minimum of scoops, choose the set with the smallest feedtype numbers. 

Sample Input复制

4
100 200 300 400
3
50   50  50  50
200 300 200 300
900 150 389 399

Sample Output复制

2 1 3

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本题记录 用 户（点击查看用户） 运行号（点击购买题解） 时 间
算法最快[$10 $ms] 计爱玲 446493 2019-07-04 23:55:25
内存最少[$2020 $KB] 计爱玲 446493 2019-07-04 23:55:25
第一AC 计爱玲 446493 2019-07-04 23:55:25
第一挑战 计爱玲 446488 2019-07-04 23:36:08

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